| 基于完备格的模糊数学形态学 |
| |
| 引用本文： | 邓廷权,陈延梅,吴从火斤.基于完备格的模糊数学形态学[J].模糊系统与数学,2001,15(2):25-32. |
| |
| 作者姓名： | 邓廷权 陈延梅 吴从火斤 |
| |
| 作者单位： | 哈尔滨工业大学数学系, |
| |
| 基金项目： | Huygens grant No. I. HG.
99/0768 from Nuffic in the Netherlands |
| |
| 摘 要： | 数学形态学被广泛应用于信号与图像处理。本文在完备格的框架下，利用模糊逻辑运算及其伴随，给出模糊数学形态学运算的定义，并深入讨论了这些运算的性质。特别是，由这种途径定义的模糊形态学，模糊闭和模糊开具有很好的性质。本文还探讨了模糊形态学运算和古典形态学运算之间的关系。
|
| 关 键 词： | 完备格 伴随 合取 蕴涵 数学形态学 模糊形态学运算 |
| 文章编号： | 1001-7402(2001)02-0025-08 |
| 修稿时间： | 2000年8月28日 |
Fuzzy Mathematical
Morphology on Complete Lattices |
| |
| DENG Ting-quan,CHEN Yan-mei,WU Cong-xin.Fuzzy Mathematical
Morphology on Complete Lattices[J].Fuzzy Systems and Mathematics,2001,15(2):25-32. |
| |
| Authors: | DENG Ting-quan CHEN Yan-mei WU Cong-xin |
| |
| Abstract: | Mathematical morphology has been widely applied to signal and image processing. In this paper,within the complete lattice framework, employed fuzzy logical operations and adjunction, fuzzy morphological operations have been proposed. The properties of these operations are discussed deeply. Especially,by this approach to fuzzy morphology, fuzzy closing and fuzzy opening have desirable properties. The links between fuzzy morphological operations and classical morphological operations have been investigated. |
| |
| Keywords: | Complete Lattice Adjunction Conjunction Implication Mathematical Morphology Fuzzy Morphological Operation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
